Question

2 पुरुष ओर 5 महिलाए एक काम 12 दिन मे करते है, 5 पुरुष 2 महिलाए वही काम 9दिन मे पुरा करते है तो 3 महिलाए वो काम कितने दिनोमे करेगी?​

Answer 1

Answer:

$2men \: and \: 5women \: = 12days \\ 5men \: and \: 2women \: = 9days \\ 3women \: = x \: days \\ \\ so \: \\ 12(2m + 5w) = \: 9(5m \: + 2w) \\ \\ 24m \: + 60w \: = 45m + 18w \\ 60w - 18w \: = 45m \: - 24m \\ 42w \: = 21m \\ 2w \: = 1m \\ so \: 1man \: = 2women \\ now \\ 2men \: and \: 5women \: = 2 \times 2 + 5 = 9women \\ 5men \: and \: 2women \: = 5 \times 2 + 2 = 12women \\ \\ so \: \\ \frac{9}{12} = \frac{12}{x} \\ 9x \: = 144 \\ x \: = 16days$

so, 3 women will complete a work in 16 days.

I think it's correct.

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